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Finding the Fourth Proportional to 279,750.64, 419,729.64 and 130,071.28

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Solution

The fourth proportional to 279,750.64, 419,729.64 and 130,071.28 is: 195,155.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,750.64 : 419,729.64 = 130,071.28 : x
  2. Step 2: Convert to fraction form
    279,750.64/419,729.64 = 130,071.28/x
  3. Step 3: Cross multiply
    279,750.64x = 419,729.64 × 130,071.28
  4. Step 4: Simplify right side
    279,750.64x = 54,594,771,528.74
  5. Step 5: Solve for x
    x = 54,594,771,528.74/279,750.64
  6. Step 6: Final answer
    x = 195,155.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.